Greatest Common Factor of 3920 and 3922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3920, 3922 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3920 and 3922 is 2.

GCF(3920,3922) = 2

GCF of 3920 and 3922

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3920 and 3922

GCF of 3920 and 3922 is 2

Prime Factorization of 3920


2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 3920 are 2,5,7. Prime factorization of 3920 in exponential form is:

3920 = 24×51×72

Prime Factorization of 3922


2 3922
37 1961
53 53
1

Prime factors of 3922 are 2,37,53. Prime factorization of 3922 in exponential form is:

3922 = 21×371×531

∴ So by taking common prime factors GCF of 3920 and 3922 is 2

Greatest Common Factor of 3920 and 3922 by matching factors method

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,49,56,70,80,98,112,140,196,245,280,392,490,560,784,980,1960,3920

Factors of 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1,2,37,53,74,106,1961,3922

Greatest Common Factor

We found the factors and prime factorization of 3920 and 3922. The biggest common factor number is the GCF number.
So the greatest common factor 3920 and 3922 is 2.

Also check out the Least Common Multiple of 3920 and 3922

Properties of GCF 3920 and 3922

(i) The GCF of 3920 and 3922 is associative

GCF of 3920 and 3922 = GCF of 3922 and 3920

Related Greatest Common Factor of 3920

Related Greatest Common Factor of 3922

Frequently Asked Questions on GCF of 3920 and 3922

1. What is the GCF of 3920 and 3922?

Answer: GCF of 3920 and 3922 is 2.

2. What are the Factors of 3920?

Answer: Factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920. There are 30 integers that are factors of 3920. The greatest factor of 3920 is 3920.

3. What are the Factors of 3922?

Answer: Factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922. There are 8 integers that are factors of 3922. The greatest factor of 3922 is 3922.

4. How to Find the GCF of 3920 and 3922?

Answer:

Greatest Common Factor of 3920 and 3922 = 2

Step 1: Find the prime factorization of 3920

3920 = 2 x 2 x 2 x 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 3922

3922 = 2 x 37 x 53

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 3920 and 3922 is 2